Convective Mass Transfer Coefficient For Simultaneous Heat And Mass Transfer Calculator

Formula Used:

\[ kL = \frac{ht}{Qs \times \rho L \times (Le^{0.67})} \]

Heat Transfer Coefficient:

W/m²·K

Specific Heat:

J/kg·K

Density of Liquid:

kg/m³

Lewis Number:

Convective Mass Transfer Coefficient (kL):

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1. What is Convective Mass Transfer Coefficient?

The Convective Mass Transfer Coefficient is a function of the geometry of the system and the velocity and properties of the fluid, similar to the heat transfer coefficient. It quantifies the rate of mass transfer between a surface and a moving fluid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ kL = \frac{ht}{Qs \times \rho L \times (Le^{0.67})} \]

Where:

\( kL \) — Convective Mass Transfer Coefficient (m/s)
\( ht \) — Heat Transfer Coefficient (W/m²·K)
\( Qs \) — Specific Heat (J/kg·K)
\( \rho L \) — Density of Liquid (kg/m³)
\( Le \) — Lewis Number (dimensionless)

Explanation: This formula relates mass transfer to heat transfer through the Lewis number, which represents the ratio of thermal diffusivity to mass diffusivity.

3. Importance of Mass Transfer Coefficient

Details: The convective mass transfer coefficient is crucial in various engineering applications including chemical processes, environmental engineering, and heat exchanger design where simultaneous heat and mass transfer occur.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure all values are positive and within reasonable physical ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of the Lewis number?
A: The Lewis number (Le) represents the ratio of thermal diffusivity to mass diffusivity, indicating the relative rates of heat and mass transfer in a system.

Q2: In what applications is this formula particularly useful?
A: This formula is particularly useful in processes involving simultaneous heat and mass transfer such as evaporation, condensation, drying, and absorption processes.

Q3: What are typical ranges for convective mass transfer coefficients?
A: Convective mass transfer coefficients typically range from 10⁻⁵ to 10⁻² m/s, depending on the fluid properties and flow conditions.

Q4: How does fluid velocity affect the mass transfer coefficient?
A: Higher fluid velocities generally increase the mass transfer coefficient due to enhanced convective transport and reduced boundary layer thickness.

Q5: Are there limitations to this correlation?
A: This correlation assumes specific flow conditions and may not be accurate for all geometries or extreme flow regimes. Experimental validation is recommended for specific applications.